On the transcendence of some power series

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Gozeri G. K., Pekin A., Kilicman A.

ADVANCES IN DIFFERENCE EQUATIONS, 2013 (SCI-Expanded)

• Publication Type: Article / Article
• Volume:
• Publication Date: 2013
• Doi Number: 10.1186/1687-1847-2013-17
• Journal Name: ADVANCES IN DIFFERENCE EQUATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Istanbul University Affiliated: Yes

Abstract

In this study, we consider some power series with rational coefficients and investigate transcendence of the values of these series for Liouville number arguments. It is proved that these values are either a Liouville number or a rational number under certain conditions.